非线性非自制系统的Lyapunov稳定性  

Lyapunov Stability of Nonautonomous Nonlinear System

作　　者：席敏 XI Min(Department of Big Data and Information Engineering,GuiZhou University,Guiyang 550025,Guizhou China)

机构地区：[1]贵州大学大数据于信息工程学院,贵州贵阳550025

出　　处：《贵阳学院学报（自然科学版）》2020年第1期14-15,共2页Journal of Guiyang University：Natural Sciences

摘　　要：本文主要研究基于非线性非自治系统的稳定性,基于Lyapunov第二方法对非自治系统的全局渐近稳定、全局一致渐近稳定和指数渐近稳定给出判定定理。In this paper,we mainly study the stability of nonautonomous systems.Based on Lyapunov's second method,we give a decision theorem for the global asymptotic stability,global uniform asymptotic stability and exponential asymptotic stability of nonautonomous systems.

关 键 词：非自治系统 LYAPUNOV稳定性 稳定性判定 

分 类 号：O19[理学—数学]